Finding the Third Proportional to 6,993.50 and 14,796.88

Step by Step Solution

1. Step 1: Write the proportion equation
   6,993.50 : 14,796.88 = 14,796.88 : x
2. Step 2: Convert to fraction form
   6,993.50/14,796.88 = 14,796.88/x
3. Step 3: Cross multiply
   6,993.50x = 14,796.88 × 14,796.88
4. Step 4: Simplify right side
   6,993.50x = 218,947,509.77
5. Step 5: Solve for x
   x = 218,947,509.77/6,993.50
6. Step 6: Final answer
   x = 31,307.29